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Test31Spring - Write your answer in a sentence 4(5 pts If...

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Name: _______________________ Intermediate Algebra - Test 3 (Chapters 5 & 6) Show All Work!!! 1. (10 pts.) A river’s current is 6 mph. A boat travels 50 miles downstream in the same time it takes to travel 30 miles upstream. What is the speed of the boat in still water? (What is the speed of the boat, without the current) Write your answer in a sentence! 2. (10 pts.) Derek can install a countertop in 5 hours. Stacy can perform the same job in 4 hours. How long will it take them, working together, to install the countertop? Write your answer in a sentence. 1
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3. (15 pts.) A ball is launched from a rooftop with an upward velocity of 24 ft/sec. The height, in feet, of the ball, t seconds after having been launched from an 40-ft. high rooftop is given by: 40 24 16 ) ( 2 + + - = t t t h . a. After how long will the ball reach the ground? Write your answer in a sentence. b.
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Unformatted text preview: Write your answer in a sentence. 4. (5 pts.) If 10 3 5 ) ( 2---= x x x x f , find the domain of ) ( x f 2 5. (10 pts.) Divide. Remember to simplify your answer as much as possible: 2 2 2 2 2 2 3 3 2 6 9 3 b ab a b a b ab a b a + +- + +-6. (10 pts.) Divide. Write your quotient below (make your answer clear!): ) 1 ( ) 6 ( 3- +-x x x Quotient: 3 7. (10 pts.) Find the value of x : 8. (10 pts.) Perform the indicated operation and, if possible, simplify your answer: 2 2 4 y x xy y x y x---+ 4 9. (10 pts.) Simplify (you should have one simplified fraction as your answer): 3 2 9 6 4 3 3 9 5 2 2-+ + + +--x x x x x 5 10. (10 pts.) If 3 4 5 2 ) ( 2 + + + = x x x x f and 3 2 1 9 2 ) ( 2 2---+-+ = x x x x x x g find all values of x for which ) ( ) ( x g x f = . 6...
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